If I, J, equals, 61IJ=61, J, K, equals, 80JK=80, and M, N, equals, 60MN=60, find the length of start overline, L, M, end overline
LM
. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
To find the length of LM, we can use the Pythagorean theorem.
From the information given, we know that LM is the hypotenuse of a right triangle.
Let's call the side lengths of the triangle LM= x
Using the Pythagorean theorem:
61 = x^2 + 60^2
61 = x^2 + 3600
x^2 = 61 - 3600
x^2 = 3539
x ≈ 59.5
Therefore, the length of LM is approximately 59.5.